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The differential equation which represen...

The differential equation which represents the family of curves `y=c_(1)e^(c_(2^(x)` where `c_(1)andc_(2)` are arbitary constants is

A

`y'=y^(2)`

B

y''=y'y

C

yy''=y'

D

`yy''=(y')^(2)`

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The correct Answer is:
D
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ARIHANT MATHS-DIFFERENTIAL EQUATION -Exercise (Questions Asked In Previous 13 Years Exam)
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  8. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

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  12. Let y(x) be the solution of the differential equation (xlogx)(dy)/(dx)...

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  13. Let the population of rabbits surviving at a time t be governed by ...

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  16. If (dy)/(dx)=y+3 and y(0)=2, then y(log2) is equal to

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  18. Solution of the differential equation cosxdy=y(sinx-y)dx, 0ltxlt(pi)...

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